Math Is Fun Forum

Hannibal lecter

Member

Registered: 2016-02-11

Posts: 392

Visual heron's formula

In this YouTube link

https://youtu.be/6KPSmajeseI

He is talking about heron's proof
He is talking about scaling a traingle
Starting in minute 1:01

What is a traingle scaling and is there on MiF

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Wisdom is a tree which grows in the heart and fruits on the tongue

Bob

Administrator

Registered: 2010-06-20

Posts: 10,169

Re: Visual heron's formula

Abot half way he gets to the formula

Then he takes the right angled triangle with shorter sides r and x, and enlarges it by a scale factor of yz so it becomes rxz by by xyz.  He adds on other enlarged triangles.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Hannibal lecter

Member

Registered: 2016-02-11

Posts: 392

Re: Visual heron's formula

Abot half way he gets to the formula

Then he takes the right angled triangle with shorter sides r and x, and enlarges it by a scale factor of yz so it becomes rxz by by xyz.  He adds on other enlarged triangles.

Bob

why he enlarged the r and x by yz
What for?
And next step he enlarge the sides r and y by
z.(x^2+r^2)^1/2 Why exactly this equation?

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Wisdom is a tree which grows in the heart and fruits on the tongue